# zbMATH — the first resource for mathematics

## Bartušek, Miroslav

Compute Distance To:
 Author ID: bartusek.miroslav Published as: Bartusek, M.; Bartusek, Miroslav; Bartushek, M.; Bartušek, M.; Bartušek, Miroslav
 Documents Indexed: 108 Publications since 1973, including 4 Books Reviewing Activity: 259 Reviews
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#### Co-Authors

 54 single-authored 25 Došlá, Zuzana 25 Graef, John R. 12 Marini, Mauro 10 Cecchi, Mariella 2 Osichka, Ya. 1 Došlý, Ondřej 1 Fujimoto, Kōdai 1 Kokologiannaki, Chrysi G. 1 Medveď, Milan 1 Osička, Jan 1 Pekarkova, Eva 1 Sobalová, Monika
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#### Serials

 23 Archivum Mathematicum 5 Journal of Mathematical Analysis and Applications 5 Czechoslovak Mathematical Journal 5 Panamerican Mathematical Journal 5 Electronic Journal of Differential Equations (EJDE) 5 Georgian Mathematical Journal 5 Electronic Journal of Qualitative Theory of Differential Equations 4 Differential Equations and Dynamical Systems 4 Abstract and Applied Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Applicable Analysis 3 Differentsial’nye Uravneniya 3 Differential Equations 3 Dynamic Systems and Applications 2 Časopis Pro Pěstování Matematiky 2 Mathematische Nachrichten 2 Mathematica Bohemica 2 Discrete and Continuous Dynamical Systems 2 Boundary Value Problems 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Equations 1 Mathematica Slovaca 1 Applied Mathematics Letters 1 Nonlinear Studies 1 Communications on Applied Nonlinear Analysis 1 Communications in Applied Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 International Journal of Pure and Applied Mathematics 1 Central European Journal of Mathematics 1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica 1 Mathematics in Engineering, Science and Aerospace MESA 1 Trends in Abstract and Applied Analysis
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#### Fields

 108 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

60 Publications have been cited 162 times in 79 Documents Cited by Year
Oscillation for third-order nonlinear differential equations with deviating argument. Zbl 1192.34073
Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro
2010
On Kneser solutions of nonlinear third-order differential equations. Zbl 0995.34025
Bartušek, M.; Cecchi, M.; Marini, M.
2001
Asymptotic problems for fourth-order nonlinear differential equations. Zbl 1298.34086
Bartušek, Miroslav; Došlá, Zuzana
2013
Fourth-order differential equation with deviating argument. Zbl 1244.34089
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2012
On nonoscillatory solutions of third order nonlinear differential equations. Zbl 1016.34036
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2000
Oscillatory criteria for nonlinear third order differential equations with quasiderivatives. Zbl 0869.34028
Bartušek, M.; Došlá, Zuzana
1995
On the structure of solutions of a system of three differential inequalities. Zbl 0820.34007
Bartušek, Miroslav
1994
On oscillatory solutions of quasilinear differential equations. Zbl 1103.34016
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2006
On oscillatory solutions of third order differential equation with quasiderivatives. Zbl 0971.34016
Bartušek, Miroslav
1999
Asymptotic properties of oscillatory solutions of differential equations of the $$n$$-th order. Zbl 0823.34034
Bartušek, Miroslav
1992
Asymptotics for higher order differential equations with a middle term. Zbl 1232.34051
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2012
Positive solutions of third order damped nonlinear differential equations. Zbl 1224.34152
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2011
On existence of proper solutions of quasilinear second order differential equations. Zbl 1115.34032
Bartušek, Miroslav; Pekárková, Eva
2007
Global monotonicity and oscillation for second order differential equation. Zbl 1081.34029
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2005
The nonlinear limit-point/limit-circle problem. Zbl 1052.34021
Bartušek, Miroslav; Došlá, Zuzana; Graef, John R.
2004
Oscillatory criteria for nonlinear $$n$$th-order differential equations with quasiderivatives. Zbl 0857.34038
Bartušek, Miroslav
1996
Remark on Kneser problem. Zbl 0836.34032
Bartušek, Miroslav; Došlá, Zuzana
1995
On solutions of a third-order nonlinear differential equation. Zbl 0819.34034
Bartušek, Miroslav; Došlá, Zuzana
1994
On oscillation and nonoscillation for differential equations with $$p$$-Laplacian. Zbl 1136.34041
Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro
2007
Singular solutions for the differential equation with $$p$$-Laplacian. Zbl 1116.34325
Bartušek, Miroslav
2005
The nonlinear limit-point/limit-circle problem for second order equations with $$p$$-Laplacian. Zbl 1098.34018
Bartušek, Miroslav; Graef, John R.
2005
Some limit-point and limit-circle results for second order Emden-Fowler equations. Zbl 1053.34024
Bartušek, Miroslav; Graef, John R.
2004
On the definitions of the nonlinear limit-point/limit-circle properties. Zbl 1231.34044
Bartušek, M.; Došlá, Z.; Graef, John R.
2001
Nonlinear limit-point type solutions of $$n$$th order differential equations. Zbl 0957.34023
Bartušek, M.; Došlá, Z.; Graef, John R.
1997
On oscillatory solutions of differential inequalities. Zbl 0756.34033
Bartušek, Miroslav
1992
Unbounded solutions of third order delayed differential equations with damping term. Zbl 1219.34085
Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro
2011
Nonlinear limit-point/limit-circle properties of solutions of second order differential equations with $$p$$-Laplacian. Zbl 1162.34020
Bartušek, Miroslav; Graef, John R.
2008
Strong linear limit-point/limit-circle properties for forced Thomas-Fermi equations with $$p$$-Laplacian. Zbl 1147.34020
Bartušek, Miroslav; Graef, John R.
2008
Asymptotic behaviour of solutions of a differential equation with $$p$$-Laplacian and a forcing term. Zbl 1165.34367
Bartušek, Miroslav; Graef, John R.
2007
The strong nonlinear limit-point/limit-circle properties for super-half-linear equations. Zbl 1148.34023
Bartušek, Miroslav; Graef, John R.
2007
The strong limit-point property of Emden-Fowler equations. Zbl 1138.34018
Bartušek, Miroslav; Graef, John R.
2006
Asymptotic properties of solutions of a forced second-order differential equation with $$p$$-Laplacian. Zbl 1103.34037
Bartušek, Miroslav; Graef, John R.
2006
On the limit-point/limit-circle problem for second order nonlinear equations. Zbl 1025.34031
Bartušek, Miroslav; Graef, John R.
2002
On the existence of singular solutions. Zbl 1014.34026
Bartušek, M.; Osička, J.
2001
The nonlinear limit-point/limit-circle problem for higher-order equations. Zbl 0914.34023
Bartušek, Miroslav; Došlá, Zuzana; Graef, John R.
1998
Asymptotic behaviour of oscillatory solutions to $$n$$th order differential equations with quasiderivatives. Zbl 0930.34023
Bartušek, Miroslav
1997
On structure of solutions of a system of four differential inequalities. Zbl 0824.34014
Bartušek, Miroslav
1995
On singular solutions for second order delayed differential equations. Zbl 1340.34279
Bartusek, M.
2012
Limit-point/limit-circle results for equations with damping. Zbl 1260.34053
Bartušek, M.; Graef, John R.
2012
On noncontinuable solutions of differential equations with delay. Zbl 1195.34093
Bartusek, M.
2009
Existence of global solutions for systems of second-order functional-differential equations with $$p$$-Laplacian. Zbl 1171.34335
Bartusek, Miroslav; Medved, Milan
2008
On singular solutions of a second order differential equation. Zbl 1115.34033
Bartušek, Miroslav
2006
On existence of singular solutions. Zbl 1026.34012
Bartušek, Miroslav
2003
Some limit-point/limit-circle results for third order differential equations. Zbl 1301.34036
Bartušek, M.; Graef, John R.
2001
On existence of singular solutions of $$n$$-th order differential equations. Zbl 1090.34536
Bartušek, Miroslav
2000
Asymptotic behaviour of solutions to a third-order nonlinear differential equation. Zbl 0944.34042
Bartušek, M.; Osička, J.
1998
On the existence of oscillatory solutions to $$n$$th-order differential equations with quasiderivatives. Zbl 0914.34029
Bartušek, Miroslav
1998
On the structure of oscillatory solutions to a third-order differential equation. Zbl 0914.34027
Bartušek, Miroslav
1997
Limit-point type results for nonlinear fourth-order differential equations. Zbl 0871.34019
Bartušek, M.; Došlá, Zuzana; Graef, John R.
1997
On $$L^ 2$$ and limit-point type solutions of fourth order differential equations. Zbl 0876.34038
Bartušek, M.; Došlá, Zuzana; Graef, John R.
1996
On existence of unbounded oscillatory solutions of $$n$$-th order differential equations. Zbl 0874.34031
Bartušek, M.
1996
On oscillatory solution of the differential equation of the $$n$$-th order. Zbl 0622.34030
Bartušek, M.
1986
On properties of oscillatory solutions of nonlinear differential equations of the $$n$$-th order. Zbl 0603.34026
Bartušek, M.
1986
The asymptotic behaviour of oscillatory solutions of the equation of the fourth order. Zbl 0579.34040
Bartušek, Miroslav
1985
The asymptotic behaviour of solutions of the differential equation of the third order. Zbl 0568.34022
Bartušek, Miroslav
1984
On existence of oscillatory solution of the system of differential equations. Zbl 0471.34022
Bartušek, Miroslav
1981
On the properties of oscillatory solutions of two-dimensional differential systems. Zbl 0483.34030
Bartušek, M.
1980
On asymptotic properties and distribution of zeros of solution of $$y'' = q(t)y$$. Zbl 0322.34021
Bartušek, Miroslav
1975
On asymptotic behaviour of central dispersions of linear differential equations of the second order. Zbl 0306.34042
Bartušek, Miroslav
1975
Connection between asymptotic properties and zeros of solutions of $$y''=q(t)y$$. Zbl 0282.34023
Bartušek, Miroslav
1973
Asymptotic problems for fourth-order nonlinear differential equations. Zbl 1298.34086
Bartušek, Miroslav; Došlá, Zuzana
2013
Fourth-order differential equation with deviating argument. Zbl 1244.34089
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2012
Asymptotics for higher order differential equations with a middle term. Zbl 1232.34051
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2012
On singular solutions for second order delayed differential equations. Zbl 1340.34279
Bartusek, M.
2012
Limit-point/limit-circle results for equations with damping. Zbl 1260.34053
Bartušek, M.; Graef, John R.
2012
Positive solutions of third order damped nonlinear differential equations. Zbl 1224.34152
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2011
Unbounded solutions of third order delayed differential equations with damping term. Zbl 1219.34085
Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro
2011
Oscillation for third-order nonlinear differential equations with deviating argument. Zbl 1192.34073
Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro
2010
On noncontinuable solutions of differential equations with delay. Zbl 1195.34093
Bartusek, M.
2009
Nonlinear limit-point/limit-circle properties of solutions of second order differential equations with $$p$$-Laplacian. Zbl 1162.34020
Bartušek, Miroslav; Graef, John R.
2008
Strong linear limit-point/limit-circle properties for forced Thomas-Fermi equations with $$p$$-Laplacian. Zbl 1147.34020
Bartušek, Miroslav; Graef, John R.
2008
Existence of global solutions for systems of second-order functional-differential equations with $$p$$-Laplacian. Zbl 1171.34335
Bartusek, Miroslav; Medved, Milan
2008
On existence of proper solutions of quasilinear second order differential equations. Zbl 1115.34032
Bartušek, Miroslav; Pekárková, Eva
2007
On oscillation and nonoscillation for differential equations with $$p$$-Laplacian. Zbl 1136.34041
Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro
2007
Asymptotic behaviour of solutions of a differential equation with $$p$$-Laplacian and a forcing term. Zbl 1165.34367
Bartušek, Miroslav; Graef, John R.
2007
The strong nonlinear limit-point/limit-circle properties for super-half-linear equations. Zbl 1148.34023
Bartušek, Miroslav; Graef, John R.
2007
On oscillatory solutions of quasilinear differential equations. Zbl 1103.34016
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2006
The strong limit-point property of Emden-Fowler equations. Zbl 1138.34018
Bartušek, Miroslav; Graef, John R.
2006
Asymptotic properties of solutions of a forced second-order differential equation with $$p$$-Laplacian. Zbl 1103.34037
Bartušek, Miroslav; Graef, John R.
2006
On singular solutions of a second order differential equation. Zbl 1115.34033
Bartušek, Miroslav
2006
Global monotonicity and oscillation for second order differential equation. Zbl 1081.34029
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2005
Singular solutions for the differential equation with $$p$$-Laplacian. Zbl 1116.34325
Bartušek, Miroslav
2005
The nonlinear limit-point/limit-circle problem for second order equations with $$p$$-Laplacian. Zbl 1098.34018
Bartušek, Miroslav; Graef, John R.
2005
The nonlinear limit-point/limit-circle problem. Zbl 1052.34021
Bartušek, Miroslav; Došlá, Zuzana; Graef, John R.
2004
Some limit-point and limit-circle results for second order Emden-Fowler equations. Zbl 1053.34024
Bartušek, Miroslav; Graef, John R.
2004
On existence of singular solutions. Zbl 1026.34012
Bartušek, Miroslav
2003
On the limit-point/limit-circle problem for second order nonlinear equations. Zbl 1025.34031
Bartušek, Miroslav; Graef, John R.
2002
On Kneser solutions of nonlinear third-order differential equations. Zbl 0995.34025
Bartušek, M.; Cecchi, M.; Marini, M.
2001
On the definitions of the nonlinear limit-point/limit-circle properties. Zbl 1231.34044
Bartušek, M.; Došlá, Z.; Graef, John R.
2001
On the existence of singular solutions. Zbl 1014.34026
Bartušek, M.; Osička, J.
2001
Some limit-point/limit-circle results for third order differential equations. Zbl 1301.34036
Bartušek, M.; Graef, John R.
2001
On nonoscillatory solutions of third order nonlinear differential equations. Zbl 1016.34036
Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M.
2000
On existence of singular solutions of $$n$$-th order differential equations. Zbl 1090.34536
Bartušek, Miroslav
2000
On oscillatory solutions of third order differential equation with quasiderivatives. Zbl 0971.34016
Bartušek, Miroslav
1999
The nonlinear limit-point/limit-circle problem for higher-order equations. Zbl 0914.34023
Bartušek, Miroslav; Došlá, Zuzana; Graef, John R.
1998
Asymptotic behaviour of solutions to a third-order nonlinear differential equation. Zbl 0944.34042
Bartušek, M.; Osička, J.
1998
On the existence of oscillatory solutions to $$n$$th-order differential equations with quasiderivatives. Zbl 0914.34029
Bartušek, Miroslav
1998
Nonlinear limit-point type solutions of $$n$$th order differential equations. Zbl 0957.34023
Bartušek, M.; Došlá, Z.; Graef, John R.
1997
Asymptotic behaviour of oscillatory solutions to $$n$$th order differential equations with quasiderivatives. Zbl 0930.34023
Bartušek, Miroslav
1997
On the structure of oscillatory solutions to a third-order differential equation. Zbl 0914.34027
Bartušek, Miroslav
1997
Limit-point type results for nonlinear fourth-order differential equations. Zbl 0871.34019
Bartušek, M.; Došlá, Zuzana; Graef, John R.
1997
Oscillatory criteria for nonlinear $$n$$th-order differential equations with quasiderivatives. Zbl 0857.34038
Bartušek, Miroslav
1996
On $$L^ 2$$ and limit-point type solutions of fourth order differential equations. Zbl 0876.34038
Bartušek, M.; Došlá, Zuzana; Graef, John R.
1996
On existence of unbounded oscillatory solutions of $$n$$-th order differential equations. Zbl 0874.34031
Bartušek, M.
1996
Oscillatory criteria for nonlinear third order differential equations with quasiderivatives. Zbl 0869.34028
Bartušek, M.; Došlá, Zuzana
1995
Remark on Kneser problem. Zbl 0836.34032
Bartušek, Miroslav; Došlá, Zuzana
1995
On structure of solutions of a system of four differential inequalities. Zbl 0824.34014
Bartušek, Miroslav
1995
On the structure of solutions of a system of three differential inequalities. Zbl 0820.34007
Bartušek, Miroslav
1994
On solutions of a third-order nonlinear differential equation. Zbl 0819.34034
Bartušek, Miroslav; Došlá, Zuzana
1994
Asymptotic properties of oscillatory solutions of differential equations of the $$n$$-th order. Zbl 0823.34034
Bartušek, Miroslav
1992
On oscillatory solutions of differential inequalities. Zbl 0756.34033
Bartušek, Miroslav
1992
On oscillatory solution of the differential equation of the $$n$$-th order. Zbl 0622.34030
Bartušek, M.
1986
On properties of oscillatory solutions of nonlinear differential equations of the $$n$$-th order. Zbl 0603.34026
Bartušek, M.
1986
The asymptotic behaviour of oscillatory solutions of the equation of the fourth order. Zbl 0579.34040
Bartušek, Miroslav
1985
The asymptotic behaviour of solutions of the differential equation of the third order. Zbl 0568.34022
Bartušek, Miroslav
1984
On existence of oscillatory solution of the system of differential equations. Zbl 0471.34022
Bartušek, Miroslav
1981
On the properties of oscillatory solutions of two-dimensional differential systems. Zbl 0483.34030
Bartušek, M.
1980
On asymptotic properties and distribution of zeros of solution of $$y'' = q(t)y$$. Zbl 0322.34021
Bartušek, Miroslav
1975
On asymptotic behaviour of central dispersions of linear differential equations of the second order. Zbl 0306.34042
Bartušek, Miroslav
1975
Connection between asymptotic properties and zeros of solutions of $$y''=q(t)y$$. Zbl 0282.34023
Bartušek, Miroslav
1973
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#### Cited by 73 Authors

 27 Bartušek, Miroslav 19 Došlá, Zuzana 14 Marini, Mauro 10 Cecchi, Mariella 6 Džurina, Jozef 6 Graef, John R. 4 Aktaş, Mustafa Fahri 4 Tiryaki, Aydin 3 Agarwal, Ravi P. 3 Baculíková, Blanka 3 Li, Tongxing 3 Zhang, Chenghui 2 Çakmak, Devrim 2 Mustafa, Octavian G. 2 Pašić, Mervan 2 Rogovchenko, Yuri V. 2 Saker, Samir H. 2 Song, Wei 1 Abd-Elhameed, Waleed Mohamed 1 Abushammala, Mariam 1 Adamec, Ladislav 1 Almenar, Pedro 1 Astashova, Irina V. 1 Băleanu, Dumitru I. 1 Bhrawy, Ali Hassan 1 Bohner, Martin J. 1 Bresquar, Anna Maria 1 Clark, Stephen R. 1 El-Nabulsi, Rami Ahmad 1 Feng, Yuqiang 1 Fleeman, Matthew C. 1 Frymark, Dale 1 Fujimoto, Kōdai 1 Greguš, Michal 1 Hasil, Petr 1 Henderson, Johnny 1 Jadlovská, Irena 1 Jódar Sanchez, Lucas Antonio 1 Khuri, Suheil A. 1 Kiguradze, Ivan Tarielovich 1 Kiguradze, Tariel I. 1 Kobza, Aleš 1 Komariková, R. 1 Kon’kov, Andrej A. 1 Kotorová, Renáta 1 Liaw, Constanze 1 Luo, Demou 1 Medveď, Milan 1 Moaaz, Osama 1 Moussaoui, Toufik 1 Muhib, Ali 1 Neuman, František 1 Osichka, Ya. 1 Qi, Jiangang 1 Rachůnek, Lukáš 1 Rachůnková, Irena 1 Rogovchenko, Yuriy V. 1 Rohleder, Martin 1 Šamajová, Helena 1 Sayfy, Ali M. S. 1 Shao, Jing 1 Šišoláková, J. 1 Špániková, Eva 1 Staněk, Svatoslav 1 Tomeček, Jan 1 Vampolová, Jana 1 Vesely, Michal 1 Xing, Lihong 1 Xu, Qiyi 1 Yu, Lixin 1 Zafer, Ağacık 1 Zhang, Lijuan 1 Zhang, Zhengqiang
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#### Cited in 29 Serials

 12 Journal of Mathematical Analysis and Applications 7 Abstract and Applied Analysis 6 Czechoslovak Mathematical Journal 6 Applied Mathematics Letters 6 Nonlinear Analysis. Theory, Methods & Applications 4 Applied Mathematics and Computation 4 Boundary Value Problems 3 Computers & Mathematics with Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Georgian Mathematical Journal 2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 2 Mathematica Slovaca 2 Differential Equations 2 Advances in Difference Equations 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Hiroshima Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Rendiconti del Seminario Matematico della Università di Padova 1 Mathematical Problems in Engineering 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Science China. Mathematics 1 Open Mathematics
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#### Cited in 9 Fields

 78 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX)